\section{1.14} 
\begin{frame}[allowframebreaks]{1.14. }

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{\color{red}1.14. PROPOSITION. }

If two vertices of an exact triangle in $D^b(\mathcal{D}_X)$ belong to $D^b_h(\mathcal{D}_X)$, then so does the third one. 

The category $D^b_h(\mathcal{D}_X)$ is generated, as a triangulated category, by $\mathrm{hol}(\mathcal{D}_X)$.

The first assertion follows, by using the long exact cohomology sequence, from the extension property stated in 1.12. 

This implies the second assertion.

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